Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 3, 1. Line g of x passes through points negative 4, 0 and negative 3, negative 2. −2 negative one half one half

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 k = 4

Step-by-step explanation:

The point (0, 0) on the graph of f(x) tells you f(0) = 0.

The point (-4, 0) on the graph of g(x) tells you g(-4) = 0.

Now we know that

 g(-4) = 0 = f(0) = f(-4+k)

or ...

 0 = -4 +k

 4 = k

The value of k is 4.

f(x+k) shifts the graph of f(x) to the left k units. The points on the graph of g(x) all have x-values that are left of the corresponding f(x) points by 4 units. Hence k=4.

step-by-step explanation:

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